Question

The tangent & Normal at any point P of the parabola intersect the axis at T $\&$ G. Centre of the circle circumscribing triangle PTG is the vertex of the parabola.

• A. True
• B. False

Answer 1

The correct option is B

False

In the previous question we have already proved that

SP=ST=SG

Where S is the focus. S should be the centre of the circumcircle,

since distance from the focus to each vertices of the triangle TPG si same.

Centre of circle circumscribing triangle PTG is S(focus)

and radius $SP=ST=SG=|a{t}^2+a|$